1431742077400 has 96 divisors (see below), whose sum is σ = 3531679650000. Its totient is φ = 537927966720.

The previous prime is 1431742077371. The next prime is 1431742077413. The reversal of 1431742077400 is 47702471341.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 1274656 + ... + 2118544.

Almost surely, 2^{1431742077400} is an apocalyptic number.

1431742077400 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 1431742077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765839825000).

1431742077400 is an abundant number, since it is smaller than the sum of its proper divisors (2099937572600).

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

1431742077400 is a wasteful number, since it uses less digits than its factorization.

1431742077400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844421 (or 844412 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 1431742077400 in words is "one trillion, four hundred thirty-one billion, seven hundred forty-two million, seventy-seven thousand, four hundred".