11332722983040 has 384 divisors, whose sum is σ = 40722139972800. Its totient is φ = 2901745115136.

The previous prime is 11332722983039. The next prime is 11332722983081. The reversal of 11332722983040 is 4038922723311.

11332722983040 is a `hidden beast` number, since 1 + 1 + 3 + 327 + 2 + 298 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11332722983040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14225362 + ... + 15000878.

Almost surely, 2^{11332722983040} is an apocalyptic number.

11332722983040 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 11332722983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361069986400).

11332722983040 is an abundant number, since it is smaller than the sum of its proper divisors (29389416989760).

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

11332722983040 is a wasteful number, since it uses less digits than its factorization.

11332722983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775644 (or 775629 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 11332722983040 in words is "eleven trillion, three hundred thirty-two billion, seven hundred twenty-two million, nine hundred eighty-three thousand, forty".