22348430141440 has 384 divisors, whose sum is σ = 58270212000000. Its totient is φ = 8177338810368.

The previous prime is 22348430141431. The next prime is 22348430141473. The reversal of 22348430141440 is 4414103484322.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22348430141393 and 22348430141402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17893057936 + ... + 17893059184.

It is an arithmetic number, because the mean of its divisors is an integer number (151745343750).

Almost surely, 2^{22348430141440} is an apocalyptic number.

22348430141440 is a gapful number since it is divisible by the number (20) 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 22348430141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29135106000000).

22348430141440 is an abundant number, since it is smaller than the sum of its proper divisors (35921781858560).

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

22348430141440 is a wasteful number, since it uses less digits than its factorization.

22348430141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 22348430141440 in words is "twenty-two trillion, three hundred forty-eight billion, four hundred thirty million, one hundred forty-one thousand, four hundred forty".