1457660032220 has 96 divisors (see below), whose sum is σ = 3653668601856. Its totient is φ = 477623520000.

The previous prime is 1457660032099. The next prime is 1457660032249. The reversal of 1457660032220 is 222300667541.

It is a super-2 number, since 2×1457660032220² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3509570 + ... + 3902870.

It is an arithmetic number, because the mean of its divisors is an integer number (38059047936).

Almost surely, 2^{1457660032220} is an apocalyptic number.

1457660032220 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 1457660032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826834300928).

1457660032220 is an abundant number, since it is smaller than the sum of its proper divisors (2196008569636).

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

1457660032220 is a wasteful number, since it uses less digits than its factorization.

1457660032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394491 (or 394489 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

Adding to 1457660032220 its reverse (222300667541), we get a palindrome (1679960699761).

The spelling of 1457660032220 in words is "one trillion, four hundred fifty-seven billion, six hundred sixty million, thirty-two thousand, two hundred twenty".