40230412992 has 336 divisors, whose sum is σ = 148575938560. Its totient is φ = 10449077760.

The previous prime is 40230412991. The next prime is 40230413051. The reversal of 40230412992 is 29921403204.

40230412992 is a `hidden beast` number, since 4 + 0 + 230 + 412 + 9 + 9 + 2 = 666.

40230412992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×40230412992² (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 not an unprimeable number, because it can be changed into a prime (40230412991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449873 + ... + 1477359.

Almost surely, 2^40230412992 is an apocalyptic number.

40230412992 is a gapful number since it is divisible by the number (42) 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 40230412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74287969280).

40230412992 is an abundant number, since it is smaller than the sum of its proper divisors (108345525568).

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

40230412992 is a wasteful number, since it uses less digits than its factorization.

40230412992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27537 (or 27510 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40230412992 in words is "forty billion, two hundred thirty million, four hundred twelve thousand, nine hundred ninety-two".