161457287040 has 640 divisors, whose sum is σ = 662036728320. Its totient is φ = 36884367360.

The previous prime is 161457287039. The next prime is 161457287059. The reversal of 161457287040 is 40782754161.

161457287040 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 572 + 8 + 70 + 4 + 0 = 666.

161457287040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88178925 + ... + 88180755.

It is an arithmetic number, because the mean of its divisors is an integer number (1034432388).

Almost surely, 2^161457287040 is an apocalyptic number.

161457287040 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 161457287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331018364160).

161457287040 is an abundant number, since it is smaller than the sum of its proper divisors (500579441280).

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

161457287040 is an frugal number, since it uses more digits than its factorization.

161457287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 161457287040 in words is "one hundred sixty-one billion, four hundred fifty-seven million, two hundred eighty-seven thousand, forty".