1572064381440 has 2400 divisors, whose sum is σ = 7079991494400. Its totient is φ = 332618711040.

The previous prime is 1572064381439. The next prime is 1572064381451. The reversal of 1572064381440 is 441834602751.

1572064381440 is a `hidden beast` number, since 1 + 5 + 7 + 206 + 438 + 1 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50711754225 + ... + 50711754255.

It is an arithmetic number, because the mean of its divisors is an integer number (2949996456).

Almost surely, 2^{1572064381440} is an apocalyptic number.

1572064381440 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 1572064381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539995747200).

1572064381440 is an abundant number, since it is smaller than the sum of its proper divisors (5507927112960).

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

1572064381440 is an frugal number, since it uses more digits than its factorization.

1572064381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1572064381440 in words is "one trillion, five hundred seventy-two billion, sixty-four million, three hundred eighty-one thousand, four hundred forty".