40914972288 has 128 divisors (see below), whose sum is σ = 121078488000. Its totient is φ = 13601903616.

The previous prime is 40914972281. The next prime is 40914972317. The reversal of 40914972288 is 88227941904.

40914972288 is a `hidden beast` number, since 40 + 91 + 497 + 2 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40914972281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294206 + ... + 1325442.

Almost surely, 2^40914972288 is an apocalyptic number.

40914972288 is a gapful number since it is divisible by the number (48) 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 40914972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60539244000).

40914972288 is an abundant number, since it is smaller than the sum of its proper divisors (80163515712).

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

40914972288 is a wasteful number, since it uses less digits than its factorization.

40914972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31639 (or 31621 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 40914972288 in words is "forty billion, nine hundred fourteen million, nine hundred seventy-two thousand, two hundred eighty-eight".