1353901046400 has 1152 divisors, whose sum is σ = 5834823422400. Its totient is φ = 305655275520.

The previous prime is 1353901046389. The next prime is 1353901046411. The reversal of 1353901046400 is 46401093531.

1353901046400 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 9 + 0 + 1 + 0 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1353901046389) and next prime (1353901046411).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 351386874 + ... + 351390726.

Almost surely, 2^{1353901046400} is an apocalyptic number.

1353901046400 is a gapful number since it is divisible by the number (10) 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 1353901046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917411711200).

1353901046400 is an abundant number, since it is smaller than the sum of its proper divisors (4480922376000).

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

1353901046400 is a wasteful number, since it uses less digits than its factorization.

1353901046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1353901046400 in words is "one trillion, three hundred fifty-three billion, nine hundred one million, forty-six thousand, four hundred".