45028781280 has 1440 divisors, whose sum is σ = 202350034656. Its totient is φ = 9364045824.

The previous prime is 45028781251. The next prime is 45028781299. The reversal of 45028781280 is 8218782054.

It is a happy number.

45028781280 is a `hidden beast` number, since 450 + 2 + 8 + 78 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×45028781280² (a number of 22 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 239 ways as a sum of consecutive naturals, for example, 464214192 + ... + 464214288.

Almost surely, 2^45028781280 is an apocalyptic number.

45028781280 is a gapful number since it is divisible by the number (40) 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 45028781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101175017328).

45028781280 is an abundant number, since it is smaller than the sum of its proper divisors (157321253376).

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

45028781280 is a wasteful number, since it uses less digits than its factorization.

45028781280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 45028781280 in words is "forty-five billion, twenty-eight million, seven hundred eighty-one thousand, two hundred eighty".