40236378892896 has 768 divisors, whose sum is σ = 117849077176320. Its totient is φ = 11982448558080.

The previous prime is 40236378892889. The next prime is 40236378892901. The reversal of 40236378892896 is 69829887363204.

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, 36812788926 + ... + 36812790018.

It is an arithmetic number, because the mean of its divisors is an integer number (153449319240).

Almost surely, 2^{40236378892896} is an apocalyptic number.

40236378892896 is a gapful number since it is divisible by the number (46) 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 40236378892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924538588160).

40236378892896 is an abundant number, since it is smaller than the sum of its proper divisors (77612698283424).

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

40236378892896 is a wasteful number, since it uses less digits than its factorization.

40236378892896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 75.

The spelling of 40236378892896 in words is "forty trillion, two hundred thirty-six billion, three hundred seventy-eight million, eight hundred ninety-two thousand, eight hundred ninety-six".