4312726010400 has 144 divisors (see below), whose sum is σ = 14268053536128. Its totient is φ = 1131206784000.

The previous prime is 4312726010381. The next prime is 4312726010441. The reversal of 4312726010400 is 40106272134.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14582856 + ... + 14875655.

It is an arithmetic number, because the mean of its divisors is an integer number (99083705112).

Almost surely, 2^{4312726010400} is an apocalyptic number.

4312726010400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4312726010400 is an abundant number, since it is smaller than the sum of its proper divisors (9955327525728).

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

4312726010400 is a wasteful number, since it uses less digits than its factorization.

4312726010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29458595 (or 29458582 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 4312726010400 in words is "four trillion, three hundred twelve billion, seven hundred twenty-six million, ten thousand, four hundred".