1015216151040 has 2160 divisors, whose sum is σ = 4704336021528. Its totient is φ = 200955396096.

The previous prime is 1015216151003. The next prime is 1015216151051. The reversal of 1015216151040 is 401516125101.

1015216151040 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 2 + 1 + 615 + 1 + 0 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 74254070016 + 940962081024 = 272496^2 + 970032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1015216150995 and 1015216151013.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3243501924 + ... + 3243502236.

Almost surely, 2^{1015216151040} is an apocalyptic number.

1015216151040 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 1015216151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352168010764).

1015216151040 is an abundant number, since it is smaller than the sum of its proper divisors (3689119870488).

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

1015216151040 is a wasteful number, since it uses less digits than its factorization.

1015216151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 1015216151040 in words is "one trillion, fifteen billion, two hundred sixteen million, one hundred fifty-one thousand, forty".