1557245399040 has 1248 divisors, whose sum is σ = 6045099540480. Its totient is φ = 383257018368.

The previous prime is 1557245399023. The next prime is 1557245399041. The reversal of 1557245399040 is 409935427551.

1557245399040 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 245 + 399 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1557245399041) 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, 4065914689 + ... + 4065915071.

It is an arithmetic number, because the mean of its divisors is an integer number (4843829760).

Almost surely, 2^{1557245399040} is an apocalyptic number.

1557245399040 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 1557245399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022549770240).

1557245399040 is an abundant number, since it is smaller than the sum of its proper divisors (4487854141440).

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

1557245399040 is an equidigital number, since it uses as much as digits as its factorization.

1557245399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 1557245399040 in words is "one trillion, five hundred fifty-seven billion, two hundred forty-five million, three hundred ninety-nine thousand, forty".