41230022024400 has 480 divisors, whose sum is σ = 155056452287616. Its totient is φ = 9252986880000.

The previous prime is 41230022024381. The next prime is 41230022024453. The reversal of 41230022024400 is 442022003214.

It is a super-2 number, since 2×41230022024400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 12182380 + ... + 15194420.

Almost surely, 2^{41230022024400} is an apocalyptic number.

41230022024400 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 41230022024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77528226143808).

41230022024400 is an abundant number, since it is smaller than the sum of its proper divisors (113826430263216).

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

41230022024400 is a wasteful number, since it uses less digits than its factorization.

41230022024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012151 (or 3012140 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41230022024400 its reverse (442022003214), we get a palindrome (41672044027614).

The spelling of 41230022024400 in words is "forty-one trillion, two hundred thirty billion, twenty-two million, twenty-four thousand, four hundred".