201520040000 has 140 divisors (see below), whose sum is σ = 529100355564. Its totient is φ = 75866112000.

The previous prime is 201520039969. The next prime is 201520040023. The reversal of 201520040000 is 40025102.

It can be written as a sum of positive squares in 10 ways, for example, as 137320642624 + 64199397376 = 370568^2 + 253376^2 .

It is a super-2 number, since 2×201520040000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 531824 + ... + 828176.

Almost surely, 2^201520040000 is an apocalyptic number.

201520040000 is a gapful number since it is divisible by the number (20) 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 201520040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264550177782).

201520040000 is an abundant number, since it is smaller than the sum of its proper divisors (327580315564).

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

201520040000 is an equidigital number, since it uses as much as digits as its factorization.

201520040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296402 (or 296377 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 201520040000 its reverse (40025102), we get a palindrome (201560065102).

The spelling of 201520040000 in words is "two hundred one billion, five hundred twenty million, forty thousand".