1045253150400 has 336 divisors, whose sum is σ = 3525830050688. Its totient is φ = 270950400000.

The previous prime is 1045253150399. The next prime is 1045253150401. The reversal of 1045253150400 is 40513525401.

It is an interprime number because it is at equal distance from previous prime (1045253150399) and next prime (1045253150401).

It is a super-2 number, since 2×1045253150400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1045253150401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43538400 + ... + 43562400.

Almost surely, 2^{1045253150400} is an apocalyptic number.

1045253150400 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 1045253150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762915025344).

1045253150400 is an abundant number, since it is smaller than the sum of its proper divisors (2480576900288).

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

1045253150400 is a wasteful number, since it uses less digits than its factorization.

1045253150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24280 (or 24265 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 1045253150400 its reverse (40513525401), we get a palindrome (1085766675801).

The spelling of 1045253150400 in words is "one trillion, forty-five billion, two hundred fifty-three million, one hundred fifty thousand, four hundred".