7142544455904 has 1440 divisors, whose sum is σ = 26404294926240. Its totient is φ = 1876153466880.

The previous prime is 7142544455899. The next prime is 7142544455987. The reversal of 7142544455904 is 4095544452417.

7142544455904 is a `hidden beast` number, since 7 + 1 + 4 + 2 + 5 + 4 + 4 + 45 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10612992912 + ... + 10612993584.

It is an arithmetic number, because the mean of its divisors is an integer number (18336315921).

Almost surely, 2^{7142544455904} 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 7142544455904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202147463120).

7142544455904 is an abundant number, since it is smaller than the sum of its proper divisors (19261750470336).

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

7142544455904 is a wasteful number, since it uses less digits than its factorization.

7142544455904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 7142544455904 in words is "seven trillion, one hundred forty-two billion, five hundred forty-four million, four hundred fifty-five thousand, nine hundred four".