40201404000 has 192 divisors, whose sum is σ = 132103887552. Its totient is φ = 10687488000.

The previous prime is 40201403993. The next prime is 40201404017. The reversal of 40201404000 is 40410204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4039030 + ... + 4048970.

It is an arithmetic number, because the mean of its divisors is an integer number (688041081).

Almost surely, 2^40201404000 is an apocalyptic number.

40201404000 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 40201404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66051943776).

40201404000 is an abundant number, since it is smaller than the sum of its proper divisors (91902483552).

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

40201404000 is a wasteful number, since it uses less digits than its factorization.

40201404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 40201404000 its reverse (40410204), we get a palindrome (40241814204).

The spelling of 40201404000 in words is "forty billion, two hundred one million, four hundred four thousand".