1015450400000 has 216 divisors, whose sum is σ = 2541463507800. Its totient is φ = 404904960000.

The previous prime is 1015450399981. The next prime is 1015450400033. The reversal of 1015450400000 is 40545101.

1015450400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 992526017536 + 22924382464 = 996256^2 + 151408^2 .

It is a super-2 number, since 2×1015450400000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279198182 + ... + 279201818.

Almost surely, 2^{1015450400000} is an apocalyptic number.

1015450400000 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 1015450400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270731753900).

1015450400000 is an abundant number, since it is smaller than the sum of its proper divisors (1526013107800).

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

1015450400000 is an frugal number, since it uses more digits than its factorization.

1015450400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 1015450400000 its reverse (40545101), we get a palindrome (1015490945101).

The spelling of 1015450400000 in words is "one trillion, fifteen billion, four hundred fifty million, four hundred thousand".