19933415040 has 512 divisors, whose sum is σ = 80344535040. Its totient is φ = 4083056640.

The previous prime is 19933415023. The next prime is 19933415053. The reversal of 19933415040 is 4051433991.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 19933415040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10791397 + ... + 10793243.

It is an arithmetic number, because the mean of its divisors is an integer number (156922920).

Almost surely, 2^19933415040 is an apocalyptic number.

19933415040 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 19933415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40172267520).

19933415040 is an abundant number, since it is smaller than the sum of its proper divisors (60411120000).

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

19933415040 is a wasteful number, since it uses less digits than its factorization.

19933415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 19933415040 in words is "nineteen billion, nine hundred thirty-three million, four hundred fifteen thousand, forty".