451378881408 has 512 divisors, whose sum is σ = 1572234854400. Its totient is φ = 111407063040.

The previous prime is 451378881407. The next prime is 451378881431. The reversal of 451378881408 is 804188873154.

It is a super-2 number, since 2×451378881408² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451378881407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55102593 + ... + 55110783.

It is an arithmetic number, because the mean of its divisors is an integer number (3070771200).

Almost surely, 2^451378881408 is an apocalyptic number.

451378881408 is a gapful number since it is divisible by the number (48) 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 451378881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786117427200).

451378881408 is an abundant number, since it is smaller than the sum of its proper divisors (1120855972992).

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

451378881408 is a wasteful number, since it uses less digits than its factorization.

451378881408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 451378881408 in words is "four hundred fifty-one billion, three hundred seventy-eight million, eight hundred eighty-one thousand, four hundred eight".