4000458104058 has 256 divisors, whose sum is σ = 9330707312640. Its totient is φ = 1133887113216.

The previous prime is 4000458104033. The next prime is 4000458104101. The reversal of 4000458104058 is 8504018540004.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1575602553 + ... + 1575605091.

It is an arithmetic number, because the mean of its divisors is an integer number (36448075440).

Almost surely, 2^{4000458104058} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000458104058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665353656320).

4000458104058 is an abundant number, since it is smaller than the sum of its proper divisors (5330249208582).

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

4000458104058 is a wasteful number, since it uses less digits than its factorization.

4000458104058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933.

The product of its (nonzero) digits is 102400, while the sum is 39.

The spelling of 4000458104058 in words is "four trillion, four hundred fifty-eight million, one hundred four thousand, fifty-eight".