418491470040 has 256 divisors, whose sum is σ = 1485388800000. Its totient is φ = 92302295040.

The previous prime is 418491470021. The next prime is 418491470143. The reversal of 418491470040 is 40074194814.

It is a super-2 number, since 2×418491470040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 418491469974 and 418491470001.

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 63 ways as a sum of consecutive naturals, for example, 9064936 + ... + 9110984.

It is an arithmetic number, because the mean of its divisors is an integer number (5802300000).

Almost surely, 2^418491470040 is an apocalyptic number.

418491470040 is a gapful number since it is divisible by the number (40) 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 418491470040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742694400000).

418491470040 is an abundant number, since it is smaller than the sum of its proper divisors (1066897329960).

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

418491470040 is a wasteful number, since it uses less digits than its factorization.

418491470040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46450 (or 46446 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 418491470040 in words is "four hundred eighteen billion, four hundred ninety-one million, four hundred seventy thousand, forty".