40313355264 has 880 divisors, whose sum is σ = 152575192000. Its totient is φ = 10534551552.

The previous prime is 40313355211. The next prime is 40313355281. The reversal of 40313355264 is 46255331304.

40313355264 is a `hidden beast` number, since 40 + 3 + 1 + 3 + 3 + 552 + 64 = 666.

It is a super-2 number, since 2×40313355264² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 369847242 + ... + 369847350.

It is an arithmetic number, because the mean of its divisors is an integer number (173380900).

Almost surely, 2^40313355264 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 40313355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76287596000).

40313355264 is an abundant number, since it is smaller than the sum of its proper divisors (112261836736).

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

40313355264 is a wasteful number, since it uses less digits than its factorization.

40313355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 40313355264 its reverse (46255331304), we get a palindrome (86568686568).

The spelling of 40313355264 in words is "forty billion, three hundred thirteen million, three hundred fifty-five thousand, two hundred sixty-four".