1450040038400 has 66 divisors (see below), whose sum is σ = 3594343450830. Its totient is φ = 580016005120.

The previous prime is 1450040038397. The next prime is 1450040038423. The reversal of 1450040038400 is 48300400541.

It can be written as a sum of positive squares in 3 ways, for example, as 454642729984 + 995397308416 = 674272^2 + 997696^2 .

It is a super-2 number, since 2×1450040038400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28295495 + ... + 28346694.

It is an arithmetic number, because the mean of its divisors is an integer number (54459749255).

Almost surely, 2^{1450040038400} is an apocalyptic number.

1450040038400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1450040038400 is an abundant number, since it is smaller than the sum of its proper divisors (2144303412430).

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

1450040038400 is an equidigital number, since it uses as much as digits as its factorization.

1450040038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56642219 (or 56642196 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1450040038400 its reverse (48300400541), we get a palindrome (1498340438941).

The spelling of 1450040038400 in words is "one trillion, four hundred fifty billion, forty million, thirty-eight thousand, four hundred".