3153315461440 has 112 divisors (see below), whose sum is σ = 7583540921280. Its totient is φ = 1248838778880.

The previous prime is 3153315461341. The next prime is 3153315461479. The reversal of 3153315461440 is 441645133513.

3153315461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3153315461393 and 3153315461402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12910371 + ... + 13152349.

Almost surely, 2^{3153315461440} 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 3153315461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791770460640).

3153315461440 is an abundant number, since it is smaller than the sum of its proper divisors (4430225459840).

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

3153315461440 is a wasteful number, since it uses less digits than its factorization.

3153315461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242400 (or 242390 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 3153315461440 in words is "three trillion, one hundred fifty-three billion, three hundred fifteen million, four hundred sixty-one thousand, four hundred forty".