1431626125000 has 112 divisors (see below), whose sum is σ = 3362072199300. Its totient is φ = 571500000000.

The previous prime is 1431626124983. The next prime is 1431626125003. The reversal of 1431626125000 is 5216261341.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 532394959716 + 899231165284 = 729654^2 + 948278^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1431626125003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63613750 + ... + 63636250.

Almost surely, 2^{1431626125000} is an apocalyptic number.

1431626125000 is a gapful number since it is divisible by the number (10) 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 1431626125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681036099650).

1431626125000 is an abundant number, since it is smaller than the sum of its proper divisors (1930446074300).

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

1431626125000 is an frugal number, since it uses more digits than its factorization.

1431626125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23046 (or 23017 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 1431626125000 in words is "one trillion, four hundred thirty-one billion, six hundred twenty-six million, one hundred twenty-five thousand".