1364762540400 has 480 divisors, whose sum is σ = 5128711789056. Its totient is φ = 303782400000.

The previous prime is 1364762540399. The next prime is 1364762540431. The reversal of 1364762540400 is 40452674631.

It is a happy number.

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

It is a congruent number.

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, 51739215 + ... + 51765585.

Almost surely, 2^{1364762540400} is an apocalyptic number.

1364762540400 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 1364762540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564355894528).

1364762540400 is an abundant number, since it is smaller than the sum of its proper divisors (3763949248656).

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

1364762540400 is a wasteful number, since it uses less digits than its factorization.

1364762540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26561 (or 26550 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 1364762540400 in words is "one trillion, three hundred sixty-four billion, seven hundred sixty-two million, five hundred forty thousand, four hundred".