1598381740440 has 1024 divisors, whose sum is σ = 6283630080000. Its totient is φ = 358413631488.

The previous prime is 1598381740399. The next prime is 1598381740453. The reversal of 1598381740440 is 440471838951.

1598381740440 is a `hidden beast` number, since 1 + 5 + 9 + 83 + 81 + 7 + 40 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 585700996 + ... + 585703724.

It is an arithmetic number, because the mean of its divisors is an integer number (6136357500).

Almost surely, 2^{1598381740440} is an apocalyptic number.

1598381740440 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 1598381740440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141815040000).

1598381740440 is an abundant number, since it is smaller than the sum of its proper divisors (4685248339560).

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

1598381740440 is a wasteful number, since it uses less digits than its factorization.

1598381740440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1598381740440 in words is "one trillion, five hundred ninety-eight billion, three hundred eighty-one million, seven hundred forty thousand, four hundred forty".