19954161040 has 160 divisors (see below), whose sum is σ = 51335285760. Its totient is φ = 7153036800.

The previous prime is 19954161023. The next prime is 19954161041. The reversal of 19954161040 is 4016145991.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 19954160984 and 19954161002.

It is not an unprimeable number, because it can be changed into a prime (19954161041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20634637 + ... + 20635603.

It is an arithmetic number, because the mean of its divisors is an integer number (320845536).

Almost surely, 2^19954161040 is an apocalyptic number.

19954161040 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 19954161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25667642880).

19954161040 is an abundant number, since it is smaller than the sum of its proper divisors (31381124720).

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

19954161040 is a wasteful number, since it uses less digits than its factorization.

19954161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 19954161040 in words is "nineteen billion, nine hundred fifty-four million, one hundred sixty-one thousand, forty".