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40640555232 = 25321779179587
BaseRepresentation
bin100101110110010111…
…011010100011100000
310212220022101010002100
4211312113122203200
51131212440231412
630400420050400
72636053006524
oct456627324340
9125808333070
1040640555232
1116265596732
127a62533a00
133aa89aa624
141d776add84
1510ccd65edc
hex9765da8e0

40640555232 has 288 divisors, whose sum is σ = 124823462400. Its totient is φ = 12496932864.

The previous prime is 40640555231. The next prime is 40640555269. The reversal of 40640555232 is 23255504604.

40640555232 is a `hidden beast` number, since 4 + 0 + 640 + 5 + 5 + 5 + 2 + 3 + 2 = 666.

40640555232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40640555231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69234043 + ... + 69234629.

It is an arithmetic number, because the mean of its divisors is an integer number (433414800).

Almost surely, 240640555232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40640555232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62411731200).

40640555232 is an abundant number, since it is smaller than the sum of its proper divisors (84182907168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40640555232 is a wasteful number, since it uses less digits than its factorization.

40640555232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 40640555232 in words is "forty billion, six hundred forty million, five hundred fifty-five thousand, two hundred thirty-two".