40001341200 has 120 divisors (see below), whose sum is σ = 128384648928. Its totient is φ = 10646461440.

The previous prime is 40001341199. The next prime is 40001341213. The reversal of 40001341200 is 214310004.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40001341200.

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, 595732 + ... + 659468.

Almost surely, 2^40001341200 is an apocalyptic number.

40001341200 is a gapful number since it is divisible by the number (40) 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 40001341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64192324464).

40001341200 is an abundant number, since it is smaller than the sum of its proper divisors (88383307728).

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

40001341200 is a wasteful number, since it uses less digits than its factorization.

40001341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64281 (or 64270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 40001341200 its reverse (214310004), we get a palindrome (40215651204).

The spelling of 40001341200 in words is "forty billion, one million, three hundred forty-one thousand, two hundred".