4501315142400 has 216 divisors, whose sum is σ = 14859745096000. Its totient is φ = 1199989739520.

The previous prime is 4501315142381. The next prime is 4501315142417. The reversal of 4501315142400 is 42415131054.

It is a super-2 number, since 2×4501315142400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67147299 + ... + 67214301.

Almost surely, 2^{4501315142400} is an apocalyptic number.

4501315142400 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 4501315142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429872548000).

4501315142400 is an abundant number, since it is smaller than the sum of its proper divisors (10358429953600).

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

4501315142400 is a wasteful number, since it uses less digits than its factorization.

4501315142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70531 (or 70512 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 4501315142400 in words is "four trillion, five hundred one billion, three hundred fifteen million, one hundred forty-two thousand, four hundred".