40893216000 has 1152 divisors, whose sum is σ = 173706903552. Its totient is φ = 8294400000.

The previous prime is 40893215963. The next prime is 40893216037. The reversal of 40893216000 is 61239804.

It is an interprime number because it is at equal distance from previous prime (40893215963) and next prime (40893216037).

It is a super-2 number, since 2×40893216000² (a number of 22 digits) contains 22 as substring.

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, 270815925 + ... + 270816075.

Almost surely, 2^40893216000 is an apocalyptic number.

40893216000 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 40893216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86853451776).

40893216000 is an abundant number, since it is smaller than the sum of its proper divisors (132813687552).

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

40893216000 is a wasteful number, since it uses less digits than its factorization.

40893216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 40893216000 in words is "forty billion, eight hundred ninety-three million, two hundred sixteen thousand".