19741559040 has 648 divisors, whose sum is σ = 81488724408. Its totient is φ = 4397137920.

The previous prime is 19741559039. The next prime is 19741559059. The reversal of 19741559040 is 4095514791.

19741559040 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 15 + 590 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1040449536 + 18701109504 = 32256^2 + 136752^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23143254 + ... + 23144106.

Almost surely, 2^19741559040 is an apocalyptic number.

19741559040 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 19741559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40744362204).

19741559040 is an abundant number, since it is smaller than the sum of its proper divisors (61747165368).

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

19741559040 is a wasteful number, since it uses less digits than its factorization.

19741559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 19741559040 in words is "nineteen billion, seven hundred forty-one million, five hundred fifty-nine thousand, forty".