4000630928976 has 200 divisors, whose sum is σ = 12684045990528. Its totient is φ = 1207281024000.

The previous prime is 4000630928947. The next prime is 4000630929017. The reversal of 4000630928976 is 6798290360004.

It is a happy number.

4000630928976 is a `hidden beast` number, since 400 + 0 + 6 + 3 + 0 + 92 + 89 + 76 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2853481 + ... + 4017911.

Almost surely, 2^{4000630928976} 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 4000630928976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342022995264).

4000630928976 is an abundant number, since it is smaller than the sum of its proper divisors (8683415061552).

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

4000630928976 is a wasteful number, since it uses less digits than its factorization.

4000630928976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164703 (or 1164688 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4000630928976 in words is "four trillion, six hundred thirty million, nine hundred twenty-eight thousand, nine hundred seventy-six".