1357028640 has 576 divisors, whose sum is σ = 5547709440. Its totient is φ = 309795840.

The previous prime is 1357028611. The next prime is 1357028641. The reversal of 1357028640 is 468207531.

1357028640 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 0 + 2 + 8 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1357028595 and 1357028604.

It is not an unprimeable number, because it can be changed into a prime (1357028641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8125837 + ... + 8126003.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

It is a vampire number, since it can be written as 18036 ⋅ 75240 (with its own digits).

Almost surely, 2^1357028640 is an apocalyptic number.

1357028640 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 1357028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).

1357028640 is an abundant number, since it is smaller than the sum of its proper divisors (4190680800).

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

1357028640 is a wasteful number, since it uses less digits than its factorization.

1357028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1357028640 is about 36837.8696452441. The cubic root of 1357028640 is about 1107.1241846274.

The spelling of 1357028640 in words is "one billion, three hundred fifty-seven million, twenty-eight thousand, six hundred forty".