3125414324400 has 120 divisors (see below), whose sum is σ = 10175871073104. Its totient is φ = 819780787200.

The previous prime is 3125414324353. The next prime is 3125414324411. The reversal of 3125414324400 is 44234145213.

It is a tau number, because it is divible by the number of its divisors (120).

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, 21275259 + ... + 21421658.

Almost surely, 2^{3125414324400} is an apocalyptic number.

3125414324400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3125414324400 is an abundant number, since it is smaller than the sum of its proper divisors (7050456748704).

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

3125414324400 is a wasteful number, since it uses less digits than its factorization.

3125414324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42696999 (or 42696988 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 3125414324400 its reverse (44234145213), we get a palindrome (3169648469613).

The spelling of 3125414324400 in words is "three trillion, one hundred twenty-five billion, four hundred fourteen million, three hundred twenty-four thousand, four hundred".