10937233440 has 384 divisors, whose sum is σ = 44194429440. Its totient is φ = 2474496000.

The previous prime is 10937233427. The next prime is 10937233453. The reversal of 10937233440 is 4433273901.

It is an interprime number because it is at equal distance from previous prime (10937233427) and next prime (10937233453).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10937233395 and 10937233404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3052450 + ... + 3056030.

It is an arithmetic number, because the mean of its divisors is an integer number (115089660).

Almost surely, 2^10937233440 is an apocalyptic number.

10937233440 is a gapful number since it is divisible by the number (10) 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 10937233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097214720).

10937233440 is an abundant number, since it is smaller than the sum of its proper divisors (33257196000).

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

10937233440 is a wasteful number, since it uses less digits than its factorization.

10937233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10937233440 in words is "ten billion, nine hundred thirty-seven million, two hundred thirty-three thousand, four hundred forty".