4106501452800 has 1320 divisors, whose sum is σ = 15825400101632. Its totient is φ = 1051066368000.

The previous prime is 4106501452789. The next prime is 4106501452819. The reversal of 4106501452800 is 82541056014.

It is a happy number.

4106501452800 is a `hidden beast` number, since 4 + 106 + 501 + 45 + 2 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12406348635 + ... + 12406348965.

Almost surely, 2^{4106501452800} is an apocalyptic number.

4106501452800 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 4106501452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912700050816).

4106501452800 is an abundant number, since it is smaller than the sum of its proper divisors (11718898648832).

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

4106501452800 is a wasteful number, since it uses less digits than its factorization.

4106501452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 4106501452800 in words is "four trillion, one hundred six billion, five hundred one million, four hundred fifty-two thousand, eight hundred".