155940028416 has 368 divisors, whose sum is σ = 495263357280. Its totient is φ = 48922361856.

The previous prime is 155940028403. The next prime is 155940028417. The reversal of 155940028416 is 614820049551.

155940028416 is a `hidden beast` number, since 1 + 559 + 4 + 0 + 0 + 2 + 84 + 16 = 666.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (155940028417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9172942840 + ... + 9172942856.

Almost surely, 2^155940028416 is an apocalyptic number.

155940028416 is a gapful number since it is divisible by the number (16) 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 155940028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247631678640).

155940028416 is an abundant number, since it is smaller than the sum of its proper divisors (339323328864).

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

155940028416 is an frugal number, since it uses more digits than its factorization.

155940028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 155940028416 in words is "one hundred fifty-five billion, nine hundred forty million, twenty-eight thousand, four hundred sixteen".