4058396672000 has 480 divisors, whose sum is σ = 11701430185536. Its totient is φ = 1388838912000.

The previous prime is 4058396671969. The next prime is 4058396672021. The reversal of 4058396672000 is 2766938504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 4058396672000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382970702 + ... + 382981298.

Almost surely, 2^{4058396672000} is an apocalyptic number.

4058396672000 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 4058396672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850715092768).

4058396672000 is an abundant number, since it is smaller than the sum of its proper divisors (7643033513536).

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

4058396672000 is a wasteful number, since it uses less digits than its factorization.

4058396672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 4058396672000 in words is "four trillion, fifty-eight billion, three hundred ninety-six million, six hundred seventy-two thousand".