19801670040 has 192 divisors, whose sum is σ = 71727832800. Its totient is φ = 4708233216.

The previous prime is 19801670017. The next prime is 19801670069. The reversal of 19801670040 is 4007610891.

It is a super-2 number, since 2×19801670040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19801669977 and 19801670004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31134 + ... + 201426.

Almost surely, 2^19801670040 is an apocalyptic number.

19801670040 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 19801670040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35863916400).

19801670040 is an abundant number, since it is smaller than the sum of its proper divisors (51926162760).

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

19801670040 is a wasteful number, since it uses less digits than its factorization.

19801670040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170346 (or 170339 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 19801670040 in words is "nineteen billion, eight hundred one million, six hundred seventy thousand, forty".