322545413305440 has 768 divisors, whose sum is σ = 1227553699680000. Its totient is φ = 78625592967168.

The previous prime is 322545413305403. The next prime is 322545413305457. The reversal of 322545413305440 is 44503314545223.

322545413305440 is a `hidden beast` number, since 3 + 2 + 2 + 54 + 54 + 1 + 3 + 3 + 0 + 544 + 0 = 666.

It is a super-2 number, since 2×322545413305440² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12420388776 + ... + 12420414744.

It is an arithmetic number, because the mean of its divisors is an integer number (1598377213125).

Almost surely, 2^{322545413305440} is an apocalyptic number.

322545413305440 is a gapful number since it is divisible by the number (30) 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 322545413305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613776849840000).

322545413305440 is an abundant number, since it is smaller than the sum of its proper divisors (905008286374560).

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

322545413305440 is a wasteful number, since it uses less digits than its factorization.

322545413305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28144 (or 28130 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 322545413305440 in words is "three hundred twenty-two trillion, five hundred forty-five billion, four hundred thirteen million, three hundred five thousand, four hundred forty".