4142315312400 has 240 divisors, whose sum is σ = 13518139569408. Its totient is φ = 1083979776000.

The previous prime is 4142315312371. The next prime is 4142315312407. The reversal of 4142315312400 is 42135132414.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4142315312400² (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 not an unprimeable number, because it can be changed into a prime (4142315312407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31483552 + ... + 31614848.

Almost surely, 2^{4142315312400} is an apocalyptic number.

4142315312400 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 4142315312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759069784704).

4142315312400 is an abundant number, since it is smaller than the sum of its proper divisors (9375824257008).

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

4142315312400 is a wasteful number, since it uses less digits than its factorization.

4142315312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131810 (or 131799 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 4142315312400 in words is "four trillion, one hundred forty-two billion, three hundred fifteen million, three hundred twelve thousand, four hundred".