240045103333980 has 192 divisors, whose sum is σ = 855722148986880. Its totient is φ = 54724194805248.

The previous prime is 240045103333979. The next prime is 240045103334033. The reversal of 240045103333980 is 89333301540042.

240045103333980 is a `hidden beast` number, since 2 + 40 + 0 + 4 + 510 + 3 + 3 + 3 + 3 + 98 + 0 = 666.

240045103333980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240045103333980² (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 63 ways as a sum of consecutive naturals, for example, 81455649 + ... + 84351128.

It is an arithmetic number, because the mean of its divisors is an integer number (4456886192640).

Almost surely, 2^{240045103333980} is an apocalyptic number.

240045103333980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240045103333980 is an abundant number, since it is smaller than the sum of its proper divisors (615677045652900).

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

240045103333980 is a wasteful number, since it uses less digits than its factorization.

240045103333980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165807185 (or 165807177 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 240045103333980 in words is "two hundred forty trillion, forty-five billion, one hundred three million, three hundred thirty-three thousand, nine hundred eighty".