418104503040 has 864 divisors, whose sum is σ = 1651878385920. Its totient is φ = 89608716288.

The previous prime is 418104503029. The next prime is 418104503051. The reversal of 418104503040 is 40305401814.

It is an interprime number because it is at equal distance from previous prime (418104503029) and next prime (418104503051).

It is a super-2 number, since 2×418104503040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 418104502989 and 418104503007.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382528734 + ... + 382529826.

It is an arithmetic number, because the mean of its divisors is an integer number (1911896280).

Almost surely, 2^418104503040 is an apocalyptic number.

418104503040 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 418104503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825939192960).

418104503040 is an abundant number, since it is smaller than the sum of its proper divisors (1233773882880).

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

418104503040 is a wasteful number, since it uses less digits than its factorization.

418104503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 418104503040 its reverse (40305401814), we get a palindrome (458409904854).

The spelling of 418104503040 in words is "four hundred eighteen billion, one hundred four million, five hundred three thousand, forty".