40734799560 has 1536 divisors, whose sum is σ = 186571123200. Its totient is φ = 7900913664.

The previous prime is 40734799507. The next prime is 40734799579. The reversal of 40734799560 is 6599743704.

It is a happy number.

40734799560 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 4 + 79 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40734799497 and 40734799506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 947320899 + ... + 947320941.

It is an arithmetic number, because the mean of its divisors is an integer number (121465575).

Almost surely, 2^40734799560 is an apocalyptic number.

40734799560 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 40734799560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93285561600).

40734799560 is an abundant number, since it is smaller than the sum of its proper divisors (145836323640).

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

40734799560 is a wasteful number, since it uses less digits than its factorization.

40734799560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 40734799560 in words is "forty billion, seven hundred thirty-four million, seven hundred ninety-nine thousand, five hundred sixty".