40455451200000 has 480 divisors, whose sum is σ = 137253774696192. Its totient is φ = 10584504320000.

The previous prime is 40455451199971. The next prime is 40455451200011. The reversal of 40455451200000 is 215455404.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 254320489 + ... + 254479511.

Almost surely, 2^{40455451200000} is an apocalyptic number.

40455451200000 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 40455451200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68626887348096).

40455451200000 is an abundant number, since it is smaller than the sum of its proper divisors (96798323496192).

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

40455451200000 is an frugal number, since it uses more digits than its factorization.

40455451200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159122 (or 159086 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 40455451200000 its reverse (215455404), we get a palindrome (40455666655404).

The spelling of 40455451200000 in words is "forty trillion, four hundred fifty-five billion, four hundred fifty-one million, two hundred thousand".