4016790000 has 700 divisors, whose sum is σ = 15877573800. Its totient is φ = 979776000.

The previous prime is 4016789969. The next prime is 4016790017. The reversal of 4016790000 is 976104.

It is a super-2 number, since 2×4016790000² = 32269203808200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 138509986 + ... + 138510014.

Almost surely, 2^4016790000 is an apocalyptic number.

4016790000 is a gapful number since it is divisible by the number (40) 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 4016790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938786900).

4016790000 is an abundant number, since it is smaller than the sum of its proper divisors (11860783800).

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

4016790000 is an equidigital number, since it uses as much as digits as its factorization.

4016790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4016790000 is about 63378.1508092497. The cubic root of 4016790000 is about 1589.6189902301.

The spelling of 4016790000 in words is "four billion, sixteen million, seven hundred ninety thousand".