40396164735360 has 1024 divisors, whose sum is σ = 159147323596800. Its totient is φ = 8509390848000.

The previous prime is 40396164735349. The next prime is 40396164735391. The reversal of 40396164735360 is 6353746169304.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 40396164735360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2756093152 + ... + 2756107808.

It is an arithmetic number, because the mean of its divisors is an integer number (155417308200).

Almost surely, 2^{40396164735360} is an apocalyptic number.

40396164735360 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 40396164735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79573661798400).

40396164735360 is an abundant number, since it is smaller than the sum of its proper divisors (118751158861440).

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

40396164735360 is a wasteful number, since it uses less digits than its factorization.

40396164735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14999 (or 14987 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 57.

The spelling of 40396164735360 in words is "forty trillion, three hundred ninety-six billion, one hundred sixty-four million, seven hundred thirty-five thousand, three hundred sixty".