411432719040 has 168 divisors, whose sum is σ = 1617322505760. Its totient is φ = 94041759744.

The previous prime is 411432719039. The next prime is 411432719111. The reversal of 411432719040 is 40917234114.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 411432718986 and 411432719004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10184025 + ... + 10224344.

Almost surely, 2^411432719040 is an apocalyptic number.

411432719040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411432719040 is an abundant number, since it is smaller than the sum of its proper divisors (1205889786720).

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

411432719040 is a wasteful number, since it uses less digits than its factorization.

411432719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20408399 (or 20408386 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 411432719040 in words is "four hundred eleven billion, four hundred thirty-two million, seven hundred nineteen thousand, forty".