1356959948400 has 360 divisors, whose sum is σ = 5527202632224. Its totient is φ = 301779302400.

The previous prime is 1356959948207. The next prime is 1356959948401. The reversal of 1356959948400 is 48499596531.

1356959948400 is a `hidden beast` number, since 1 + 3 + 5 + 69 + 5 + 99 + 484 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356959948401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204730 + ... + 1660070.

Almost surely, 2^{1356959948400} is an apocalyptic number.

1356959948400 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 1356959948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763601316112).

1356959948400 is an abundant number, since it is smaller than the sum of its proper divisors (4170242683824).

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

1356959948400 is a wasteful number, since it uses less digits than its factorization.

1356959948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455409 (or 1455395 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 1356959948400 in words is "one trillion, three hundred fifty-six billion, nine hundred fifty-nine million, nine hundred forty-eight thousand, four hundred".