1451034224640 has 3072 divisors, whose sum is σ = 7132769280000. Its totient is φ = 275719127040.

The previous prime is 1451034224639. The next prime is 1451034224671. The reversal of 1451034224640 is 464224301541.

1451034224640 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 0 + 3 + 4 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1451034224595 and 1451034224604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13561067467 + ... + 13561067573.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865000).

Almost surely, 2^{1451034224640} is an apocalyptic number.

1451034224640 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 1451034224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640000).

1451034224640 is an abundant number, since it is smaller than the sum of its proper divisors (5681735055360).

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

1451034224640 is a wasteful number, since it uses less digits than its factorization.

1451034224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1451034224640 in words is "one trillion, four hundred fifty-one billion, thirty-four million, two hundred twenty-four thousand, six hundred forty".