1201411413540 has 768 divisors, whose sum is σ = 4528427904000. Its totient is φ = 261213880320.

The previous prime is 1201411413493. The next prime is 1201411413569. The reversal of 1201411413540 is 453141141021.

It is a happy number.

1201411413540 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 114 + 1 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 247150710 + ... + 247155570.

It is an arithmetic number, because the mean of its divisors is an integer number (5896390500).

Almost surely, 2^{1201411413540} is an apocalyptic number.

1201411413540 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 1201411413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264213952000).

1201411413540 is an abundant number, since it is smaller than the sum of its proper divisors (3327016490460).

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

1201411413540 is a wasteful number, since it uses less digits than its factorization.

1201411413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1201411413540 its reverse (453141141021), we get a palindrome (1654552554561).

The spelling of 1201411413540 in words is "one trillion, two hundred one billion, four hundred eleven million, four hundred thirteen thousand, five hundred forty".