1201415040 has 384 divisors, whose sum is σ = 4811788800. Its totient is φ = 270544896.

The previous prime is 1201415029. The next prime is 1201415071. The reversal of 1201415040 is 405141021.

1201415040 is a `hidden beast` number, since 1 + 20 + 141 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3346381 + ... + 3346739.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^1201415040 is an apocalyptic number.

1201415040 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 1201415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1201415040 is an abundant number, since it is smaller than the sum of its proper divisors (3610373760).

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

1201415040 is a wasteful number, since it uses less digits than its factorization.

1201415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1201415040 is about 34661.4344769515. The cubic root of 1201415040 is about 1063.0761007694.

Adding to 1201415040 its reverse (405141021), we get a palindrome (1606556061).

The spelling of 1201415040 in words is "one billion, two hundred one million, four hundred fifteen thousand, forty".