453970159943040 has 3840 divisors, whose sum is σ = 1890534052915200. Its totient is φ = 103565869056000.

The previous prime is 453970159942907. The next prime is 453970159943107. The reversal of 453970159943040 is 40349951079354.

It is a happy number.

453970159943040 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 7 + 0 + 1 + 599 + 4 + 30 + 4 + 0 = 666.

It is a super-2 number, since 2×453970159943040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 656975629095 + ... + 656975629785.

It is an arithmetic number, because the mean of its divisors is an integer number (492326576280).

Almost surely, 2^{453970159943040} is an apocalyptic number.

453970159943040 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 453970159943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945267026457600).

453970159943040 is an abundant number, since it is smaller than the sum of its proper divisors (1436563892972160).

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

453970159943040 is a wasteful number, since it uses less digits than its factorization.

453970159943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 453970159943040 in words is "four hundred fifty-three trillion, nine hundred seventy billion, one hundred fifty-nine million, nine hundred forty-three thousand, forty".