5042910167400 has 768 divisors, whose sum is σ = 19664112844800. Its totient is φ = 1042403281920.

The previous prime is 5042910167389. The next prime is 5042910167437. The reversal of 5042910167400 is 47610192405.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1003961289 + ... + 1003966311.

It is an arithmetic number, because the mean of its divisors is an integer number (25604313600).

Almost surely, 2^{5042910167400} is an apocalyptic number.

5042910167400 is a gapful number since it is divisible by the number (50) 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 5042910167400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832056422400).

5042910167400 is an abundant number, since it is smaller than the sum of its proper divisors (14621202677400).

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

5042910167400 is a wasteful number, since it uses less digits than its factorization.

5042910167400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 5042910167400 in words is "five trillion, forty-two billion, nine hundred ten million, one hundred sixty-seven thousand, four hundred".