22430310311040 has 128 divisors (see below), whose sum is σ = 71683291699200. Its totient is φ = 5965798612992.

The previous prime is 22430310311027. The next prime is 22430310311051. The reversal of 22430310311040 is 4011301303422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22430310311040³ (a number of 41 digits) contains 333 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 22430310311040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14515885 + ... + 15986604.

It is an arithmetic number, because the mean of its divisors is an integer number (560025716400).

Almost surely, 2^{22430310311040} is an apocalyptic number.

22430310311040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22430310311040 is an abundant number, since it is smaller than the sum of its proper divisors (49252981388160).

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

22430310311040 is a wasteful number, since it uses less digits than its factorization.

22430310311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30502894 (or 30502882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22430310311040 its reverse (4011301303422), we get a palindrome (26441611614462).

The spelling of 22430310311040 in words is "twenty-two trillion, four hundred thirty billion, three hundred ten million, three hundred eleven thousand, forty".