40334261760 has 480 divisors, whose sum is σ = 151266443328. Its totient is φ = 9873653760.

The previous prime is 40334261749. The next prime is 40334261809. The reversal of 40334261760 is 6716243304.

It is a happy number.

40334261760 is a `hidden beast` number, since 4 + 0 + 3 + 34 + 2 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 93150504 + ... + 93150936.

Almost surely, 2^40334261760 is an apocalyptic number.

40334261760 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 40334261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75633221664).

40334261760 is an abundant number, since it is smaller than the sum of its proper divisors (110932181568).

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

40334261760 is a wasteful number, since it uses less digits than its factorization.

40334261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40334261760 in words is "forty billion, three hundred thirty-four million, two hundred sixty-one thousand, seven hundred sixty".