3053640458400 has 576 divisors, whose sum is σ = 11704115388672. Its totient is φ = 676924784640.

The previous prime is 3053640458357. The next prime is 3053640458413. The reversal of 3053640458400 is 48540463503.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197039452 + ... + 197054948.

It is an arithmetic number, because the mean of its divisors is an integer number (20319644772).

Almost surely, 2^{3053640458400} is an apocalyptic number.

3053640458400 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 3053640458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852057694336).

3053640458400 is an abundant number, since it is smaller than the sum of its proper divisors (8650474930272).

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

3053640458400 is a wasteful number, since it uses less digits than its factorization.

3053640458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15881 (or 15868 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 3053640458400 in words is "three trillion, fifty-three billion, six hundred forty million, four hundred fifty-eight thousand, four hundred".