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40541563800 = 23335261123077
BaseRepresentation
bin100101110000011101…
…110010101110011000
310212122102002211101000
4211300131302232120
51131012120020200
630342522225000
72633441415003
oct456035625630
9125572084330
1040541563800
1116214723a31
127a35355160
133a9132ac0a
141d684a253a
1510c4310300
hex970772b98

40541563800 has 192 divisors, whose sum is σ = 141933549600. Its totient is φ = 10633766400.

The previous prime is 40541563793. The next prime is 40541563831. The reversal of 40541563800 is 836514504.

It is a happy number.

40541563800 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 15 + 638 + 0 + 0 = 666.

40541563800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267862 + ... + 390938.

Almost surely, 240541563800 is an apocalyptic number.

40541563800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40541563800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70966774800).

40541563800 is an abundant number, since it is smaller than the sum of its proper divisors (101391985800).

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

40541563800 is a wasteful number, since it uses less digits than its factorization.

40541563800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123163 (or 123148 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40541563800 in words is "forty billion, five hundred forty-one million, five hundred sixty-three thousand, eight hundred".