416011223040 has 768 divisors, whose sum is σ = 1618037130240. Its totient is φ = 90832896000.

The previous prime is 416011223029. The next prime is 416011223099. The reversal of 416011223040 is 40322110614.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-4 number, since 4×416011223040⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 416011223040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553942665 + ... + 553943415.

It is an arithmetic number, because the mean of its divisors is an integer number (2106819180).

Almost surely, 2^416011223040 is an apocalyptic number.

416011223040 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 416011223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809018565120).

416011223040 is an abundant number, since it is smaller than the sum of its proper divisors (1202025907200).

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

416011223040 is an equidigital number, since it uses as much as digits as its factorization.

416011223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 416011223040 its reverse (40322110614), we get a palindrome (456333333654).

The spelling of 416011223040 in words is "four hundred sixteen billion, eleven million, two hundred twenty-three thousand, forty".