418991040 has 504 divisors, whose sum is σ = 1690835328. Its totient is φ = 94556160.

The previous prime is 418991033. The next prime is 418991057. The reversal of 418991040 is 40199814.

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 = 418990986 and 418991004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13515825 + ... + 13515855.

It is an arithmetic number, because the mean of its divisors is an integer number (3354832).

Almost surely, 2^418991040 is an apocalyptic number.

418991040 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 418991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845417664).

418991040 is an abundant number, since it is smaller than the sum of its proper divisors (1271844288).

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

418991040 is a wasteful number, since it uses less digits than its factorization.

418991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 418991040 is about 20469.2706269667. The cubic root of 418991040 is about 748.2870775070.

The spelling of 418991040 in words is "four hundred eighteen million, nine hundred ninety-one thousand, forty".