1572735613440 has 640 divisors, whose sum is σ = 5364268664832. Its totient is φ = 392235909120.

The previous prime is 1572735613429. The next prime is 1572735613451. The reversal of 1572735613440 is 443165372751.

It is an interprime number because it is at equal distance from previous prime (1572735613429) and next prime (1572735613451).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1572735613440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2445933759 + ... + 2445934401.

Almost surely, 2^{1572735613440} is an apocalyptic number.

1572735613440 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 1572735613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682134332416).

1572735613440 is an abundant number, since it is smaller than the sum of its proper divisors (3791533051392).

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

1572735613440 is a wasteful number, since it uses less digits than its factorization.

1572735613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 1572735613440 in words is "one trillion, five hundred seventy-two billion, seven hundred thirty-five million, six hundred thirteen thousand, four hundred forty".