22901364541440 has 2304 divisors, whose sum is σ = 103900672512000. Its totient is φ = 4731444264960.

The previous prime is 22901364541399. The next prime is 22901364541481. The reversal of 22901364541440 is 4414546310922.

22901364541440 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 1 + 3 + 64 + 541 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22901364541399) and next prime (22901364541481).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35616429759 + ... + 35616430401.

It is an arithmetic number, because the mean of its divisors is an integer number (45095778000).

Almost surely, 2^{22901364541440} is an apocalyptic number.

22901364541440 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 22901364541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51950336256000).

22901364541440 is an abundant number, since it is smaller than the sum of its proper divisors (80999307970560).

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

22901364541440 is a wasteful number, since it uses less digits than its factorization.

22901364541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22901364541440 in words is "twenty-two trillion, nine hundred one billion, three hundred sixty-four million, five hundred forty-one thousand, four hundred forty".