1357424640 has 576 divisors, whose sum is σ = 5580731520. Its totient is φ = 300810240.

The previous prime is 1357424569. The next prime is 1357424659. The reversal of 1357424640 is 464247531.

1357424640 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 4 + 2 + 4 + 640 = 666.

1357424640 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1357424595 and 1357424604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13178829 + ... + 13178931.

It is an arithmetic number, because the mean of its divisors is an integer number (9688770).

Almost surely, 2^1357424640 is an apocalyptic number.

1357424640 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 1357424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790365760).

1357424640 is an abundant number, since it is smaller than the sum of its proper divisors (4223306880).

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

1357424640 is a wasteful number, since it uses less digits than its factorization.

1357424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1357424640 is about 36843.2441568329. The cubic root of 1357424640 is about 1107.2318656114.

The spelling of 1357424640 in words is "one billion, three hundred fifty-seven million, four hundred twenty-four thousand, six hundred forty".