1358572400640 has 3328 divisors, whose sum is σ = 6605222400000. Its totient is φ = 262193283072.

The previous prime is 1358572400623. The next prime is 1358572400641. The reversal of 1358572400640 is 460042758531.

1358572400640 is a `hidden beast` number, since 1 + 3 + 585 + 7 + 2 + 4 + 0 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358572400641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46847324146 + ... + 46847324174.

Almost surely, 2^{1358572400640} is an apocalyptic number.

1358572400640 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 1358572400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302611200000).

1358572400640 is an abundant number, since it is smaller than the sum of its proper divisors (5246649999360).

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

1358572400640 is a wasteful number, since it uses less digits than its factorization.

1358572400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1358572400640 in words is "one trillion, three hundred fifty-eight billion, five hundred seventy-two million, four hundred thousand, six hundred forty".