1361411150400 has 336 divisors, whose sum is σ = 5671827396480. Its totient is φ = 311179622400.

The previous prime is 1361411150347. The next prime is 1361411150471. The reversal of 1361411150400 is 40511141631.

1361411150400 is a `hidden beast` number, since 1 + 3 + 6 + 141 + 11 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1948611 + ... + 2553410.

It is an arithmetic number, because the mean of its divisors is an integer number (16880438680).

Almost surely, 2^{1361411150400} is an apocalyptic number.

1361411150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361411150400 is an abundant number, since it is smaller than the sum of its proper divisors (4310416246080).

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

1361411150400 is a wasteful number, since it uses less digits than its factorization.

1361411150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502059 (or 4502038 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1361411150400 in words is "one trillion, three hundred sixty-one billion, four hundred eleven million, one hundred fifty thousand, four hundred".