7142183942400 has 2160 divisors, whose sum is σ = 31099002536448. Its totient is φ = 1600487424000.

The previous prime is 7142183942371. The next prime is 7142183942401. The reversal of 7142183942400 is 42493812417.

7142183942400 is a `hidden beast` number, since 7 + 1 + 4 + 2 + 18 + 394 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7142183942401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3551557395 + ... + 3551559405.

Almost surely, 2^{7142183942400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142183942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549501268224).

7142183942400 is an abundant number, since it is smaller than the sum of its proper divisors (23956818594048).

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

7142183942400 is a wasteful number, since it uses less digits than its factorization.

7142183942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 7142183942400 in words is "seven trillion, one hundred forty-two billion, one hundred eighty-three million, nine hundred forty-two thousand, four hundred".