40131229824 has 192 divisors, whose sum is σ = 134217720000. Its totient is φ = 11271591936.

The previous prime is 40131229813. The next prime is 40131229891. The reversal of 40131229824 is 42892213104.

40131229824 is a `hidden beast` number, since 401 + 3 + 1 + 229 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40131229824² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433602 + ... + 517950.

It is an arithmetic number, because the mean of its divisors is an integer number (699050625).

Almost surely, 2^40131229824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108860000).

40131229824 is an abundant number, since it is smaller than the sum of its proper divisors (94086490176).

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

40131229824 is a wasteful number, since it uses less digits than its factorization.

40131229824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84435 (or 84420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 40131229824 in words is "forty billion, one hundred thirty-one million, two hundred twenty-nine thousand, eight hundred twenty-four".