1054123254400 has 384 divisors, whose sum is σ = 2693829726720. Its totient is φ = 407447040000.

The previous prime is 1054123254361. The next prime is 1054123254449. The reversal of 1054123254400 is 44523214501.

It is a super-2 number, since 2×1054123254400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3184662235 + ... + 3184662565.

It is an arithmetic number, because the mean of its divisors is an integer number (7015181580).

Almost surely, 2^{1054123254400} is an apocalyptic number.

1054123254400 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 1054123254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346914863360).

1054123254400 is an abundant number, since it is smaller than the sum of its proper divisors (1639706472320).

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

1054123254400 is a wasteful number, since it uses less digits than its factorization.

1054123254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 1054123254400 its reverse (44523214501), we get a palindrome (1098646468901).

The spelling of 1054123254400 in words is "one trillion, fifty-four billion, one hundred twenty-three million, two hundred fifty-four thousand, four hundred".