4021031291904 has 528 divisors, whose sum is σ = 12803670187776. Its totient is φ = 1205342208000.

The previous prime is 4021031291863. The next prime is 4021031291941. The reversal of 4021031291904 is 4091921301204.

4021031291904 is a `hidden beast` number, since 40 + 210 + 31 + 291 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5311797894 + ... + 5311798650.

Almost surely, 2^{4021031291904} is an apocalyptic number.

4021031291904 is a gapful number since it is divisible by the number (44) 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 4021031291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401835093888).

4021031291904 is an abundant number, since it is smaller than the sum of its proper divisors (8782638895872).

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

4021031291904 is a wasteful number, since it uses less digits than its factorization.

4021031291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 4021031291904 in words is "four trillion, twenty-one billion, thirty-one million, two hundred ninety-one thousand, nine hundred four".