431135383655340 has 1152 divisors, whose sum is σ = 1795597445376000. Its totient is φ = 83397122242560.

The previous prime is 431135383655311. The next prime is 431135383655377. The reversal of 431135383655340 is 43556383531134.

431135383655340 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 3 + 5 + 3 + 83 + 6 + 553 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 897007006 + ... + 897487514.

It is an arithmetic number, because the mean of its divisors is an integer number (1558678338000).

Almost surely, 2^{431135383655340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431135383655340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897798722688000).

431135383655340 is an abundant number, since it is smaller than the sum of its proper divisors (1364462061720660).

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

431135383655340 is a wasteful number, since it uses less digits than its factorization.

431135383655340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480628 (or 480589 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 431135383655340 in words is "four hundred thirty-one trillion, one hundred thirty-five billion, three hundred eighty-three million, six hundred fifty-five thousand, three hundred forty".