364161595440 has 320 divisors, whose sum is σ = 1298814013440. Its totient is φ = 83793346560.

The previous prime is 364161595439. The next prime is 364161595463. The reversal of 364161595440 is 44595161463.

It is a happy number.

It is a super-2 number, since 2×364161595440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 364161595440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2327352 + ... + 2478888.

It is an arithmetic number, because the mean of its divisors is an integer number (4058793792).

Almost surely, 2^364161595440 is an apocalyptic number.

364161595440 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 364161595440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649407006720).

364161595440 is an abundant number, since it is smaller than the sum of its proper divisors (934652418000).

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

364161595440 is a wasteful number, since it uses less digits than its factorization.

364161595440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151620 (or 151614 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 364161595440 in words is "three hundred sixty-four billion, one hundred sixty-one million, five hundred ninety-five thousand, four hundred forty".