41220990720 has 1440 divisors, whose sum is σ = 192960206208. Its totient is φ = 8153726976.

The previous prime is 41220990611. The next prime is 41220990773. The reversal of 41220990720 is 2709902214.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×41220990720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160392832 + ... + 160393088.

Almost surely, 2^41220990720 is an apocalyptic number.

41220990720 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 41220990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96480103104).

41220990720 is an abundant number, since it is smaller than the sum of its proper divisors (151739215488).

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

41220990720 is a wasteful number, since it uses less digits than its factorization.

41220990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 41220990720 in words is "forty-one billion, two hundred twenty million, nine hundred ninety thousand, seven hundred twenty".