451124021040 has 640 divisors, whose sum is σ = 1850898677760. Its totient is φ = 87998054400.

The previous prime is 451124021009. The next prime is 451124021059. The reversal of 451124021040 is 40120421154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 451124021040.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137914605 + ... + 137917875.

It is an arithmetic number, because the mean of its divisors is an integer number (2892029184).

Almost surely, 2^451124021040 is an apocalyptic number.

451124021040 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 451124021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925449338880).

451124021040 is an abundant number, since it is smaller than the sum of its proper divisors (1399774656720).

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

451124021040 is a wasteful number, since it uses less digits than its factorization.

451124021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 451124021040 its reverse (40120421154), we get a palindrome (491244442194).

The spelling of 451124021040 in words is "four hundred fifty-one billion, one hundred twenty-four million, twenty-one thousand, forty".