1357405620480 has 3888 divisors, whose sum is σ = 6705357894144. Its totient is φ = 260855562240.

The previous prime is 1357405620427. The next prime is 1357405620581. The reversal of 1357405620480 is 840265047531.

1357405620480 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 4 + 0 + 562 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 43787278065 + ... + 43787278095.

It is an arithmetic number, because the mean of its divisors is an integer number (1724629088).

Almost surely, 2^{1357405620480} is an apocalyptic number.

1357405620480 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 1357405620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352678947072).

1357405620480 is an abundant number, since it is smaller than the sum of its proper divisors (5347952273664).

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

1357405620480 is a wasteful number, since it uses less digits than its factorization.

1357405620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1357405620480 in words is "one trillion, three hundred fifty-seven billion, four hundred five million, six hundred twenty thousand, four hundred eighty".