1357349853440 has 288 divisors, whose sum is σ = 3869782560000. Its totient is φ = 446301241344.

The previous prime is 1357349853383. The next prime is 1357349853473. The reversal of 1357349853440 is 443589437531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38698631 + ... + 38733689.

It is an arithmetic number, because the mean of its divisors is an integer number (13436745000).

Almost surely, 2^{1357349853440} is an apocalyptic number.

1357349853440 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 1357349853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934891280000).

1357349853440 is an abundant number, since it is smaller than the sum of its proper divisors (2512432706560).

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

1357349853440 is a wasteful number, since it uses less digits than its factorization.

1357349853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35265 (or 35251 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 1357349853440 in words is "one trillion, three hundred fifty-seven billion, three hundred forty-nine million, eight hundred fifty-three thousand, four hundred forty".