1353900430440 has 96 divisors (see below), whose sum is σ = 4400351261280. Its totient is φ = 361025767296.

The previous prime is 1353900430357. The next prime is 1353900430471. The reversal of 1353900430440 is 440340093531.

1353900430440 is a `hidden beast` number, since 135 + 3 + 90 + 0 + 430 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1353900430395 and 1353900430404.

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, 11471007 + ... + 11588433.

It is an arithmetic number, because the mean of its divisors is an integer number (45836992305).

Almost surely, 2^{1353900430440} is an apocalyptic number.

1353900430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353900430440 is an abundant number, since it is smaller than the sum of its proper divisors (3046450830840).

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

1353900430440 is a wasteful number, since it uses less digits than its factorization.

1353900430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149471 (or 149464 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1353900430440 in words is "one trillion, three hundred fifty-three billion, nine hundred million, four hundred thirty thousand, four hundred forty".