1357252416 has 224 divisors, whose sum is σ = 4437888000. Its totient is φ = 403937280.

The previous prime is 1357252373. The next prime is 1357252423. The reversal of 1357252416 is 6142527531.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695410 + ... + 697358.

It is an arithmetic number, because the mean of its divisors is an integer number (19812000).

Almost surely, 2^1357252416 is an apocalyptic number.

1357252416 is a gapful number since it is divisible by the number (16) 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 1357252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944000).

1357252416 is an abundant number, since it is smaller than the sum of its proper divisors (3080635584).

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

1357252416 is a wasteful number, since it uses less digits than its factorization.

1357252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1998 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1357252416 is about 36840.9068292299. The cubic root of 1357252416 is about 1107.1850367463.

Adding to 1357252416 its reverse (6142527531), we get a palindrome (7499779947).

The spelling of 1357252416 in words is "one billion, three hundred fifty-seven million, two hundred fifty-two thousand, four hundred sixteen".