1450364931840 has 288 divisors, whose sum is σ = 5094983238912. Its totient is φ = 351602380800.

The previous prime is 1450364931767. The next prime is 1450364931871. The reversal of 1450364931840 is 481394630541.

It is a super-2 number, since 2×1450364931840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1450364931840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4969155 + ... + 5252925.

It is an arithmetic number, because the mean of its divisors is an integer number (17690914024).

Almost surely, 2^{1450364931840} is an apocalyptic number.

1450364931840 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 1450364931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547491619456).

1450364931840 is an abundant number, since it is smaller than the sum of its proper divisors (3644618307072).

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

1450364931840 is an equidigital number, since it uses as much as digits as its factorization.

1450364931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283828 (or 283792 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1450364931840 in words is "one trillion, four hundred fifty billion, three hundred sixty-four million, nine hundred thirty-one thousand, eight hundred forty".