152350363440 has 480 divisors, whose sum is σ = 571623324480. Its totient is φ = 36052992000.

The previous prime is 152350363409. The next prime is 152350363453. The reversal of 152350363440 is 44363053251.

152350363440 is a `hidden beast` number, since 1 + 52 + 3 + 503 + 63 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152350363395 and 152350363404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58392856 + ... + 58395464.

It is an arithmetic number, because the mean of its divisors is an integer number (1190881926).

Almost surely, 2^152350363440 is an apocalyptic number.

152350363440 is a gapful number since it is divisible by the number (10) 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 152350363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285811662240).

152350363440 is an abundant number, since it is smaller than the sum of its proper divisors (419272961040).

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

152350363440 is a wasteful number, since it uses less digits than its factorization.

152350363440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 152350363440 in words is "one hundred fifty-two billion, three hundred fifty million, three hundred sixty-three thousand, four hundred forty".