4009992631146 has 160 divisors (see below), whose sum is σ = 9482282143488. Its totient is φ = 1264085222400.

The previous prime is 4009992631067. The next prime is 4009992631181. The reversal of 4009992631146 is 6411362999004.

It is a happy number.

4009992631146 is a `hidden beast` number, since 400 + 9 + 9 + 92 + 6 + 3 + 1 + 146 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4009992631092 and 4009992631101.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 395029171 + ... + 395039321.

Almost surely, 2^{4009992631146} is an apocalyptic number.

4009992631146 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009992631146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741141071744).

4009992631146 is an abundant number, since it is smaller than the sum of its proper divisors (5472289512342).

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

4009992631146 is a wasteful number, since it uses less digits than its factorization.

4009992631146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11378 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 4009992631146 in words is "four trillion, nine billion, nine hundred ninety-two million, six hundred thirty-one thousand, one hundred forty-six".