40307135326656 has 112 divisors (see below), whose sum is σ = 116384363827200. Its totient is φ = 12209736017920.

The previous prime is 40307135326649. The next prime is 40307135326663. The reversal of 40307135326656 is 65662353170304.

It is an interprime number because it is at equal distance from previous prime (40307135326649) and next prime (40307135326663).

It is a junction number, because it is equal to n+sod(n) for n = 40307135326599 and 40307135326608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2123620 + ... + 9226268.

It is an arithmetic number, because the mean of its divisors is an integer number (1039146105600).

Almost surely, 2^{40307135326656} 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 40307135326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58192181913600).

40307135326656 is an abundant number, since it is smaller than the sum of its proper divisors (76077228500544).

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

40307135326656 is a wasteful number, since it uses less digits than its factorization.

40307135326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7105362 (or 7105352 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 51.

The spelling of 40307135326656 in words is "forty trillion, three hundred seven billion, one hundred thirty-five million, three hundred twenty-six thousand, six hundred fifty-six".