1023250124400 has 360 divisors, whose sum is σ = 3818894682240. Its totient is φ = 233521989120.

The previous prime is 1023250124359. The next prime is 1023250124411. The reversal of 1023250124400 is 44210523201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38735997 + ... + 38762403.

It is an arithmetic number, because the mean of its divisors is an integer number (10608040784).

Almost surely, 2^{1023250124400} is an apocalyptic number.

1023250124400 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 1023250124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909447341120).

1023250124400 is an abundant number, since it is smaller than the sum of its proper divisors (2795644557840).

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

1023250124400 is a wasteful number, since it uses less digits than its factorization.

1023250124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27101 (or 27083 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1023250124400 its reverse (44210523201), we get a palindrome (1067460647601).

The spelling of 1023250124400 in words is "one trillion, twenty-three billion, two hundred fifty million, one hundred twenty-four thousand, four hundred".