3135763142400 has 432 divisors, whose sum is σ = 12146722671104. Its totient is φ = 697373245440.

The previous prime is 3135763142371. The next prime is 3135763142419. The reversal of 3135763142400 is 42413675313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4657509 + ... + 5288091.

Almost surely, 2^{3135763142400} is an apocalyptic number.

3135763142400 is a gapful number since it is divisible by the number (30) 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 3135763142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073361335552).

3135763142400 is an abundant number, since it is smaller than the sum of its proper divisors (9010959528704).

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

3135763142400 is a wasteful number, since it uses less digits than its factorization.

3135763142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630656 (or 630637 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 3135763142400 in words is "three trillion, one hundred thirty-five billion, seven hundred sixty-three million, one hundred forty-two thousand, four hundred".