40455451456 has 112 divisors (see below), whose sum is σ = 96114998016. Its totient is φ = 16518610944.

The previous prime is 40455451441. The next prime is 40455451457. The reversal of 40455451456 is 65415455404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40455451457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2640490 + ... + 2655766.

Almost surely, 2^40455451456 is an apocalyptic number.

40455451456 is a gapful number since it is divisible by the number (46) 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 40455451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48057499008).

40455451456 is an abundant number, since it is smaller than the sum of its proper divisors (55659546560).

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

40455451456 is a wasteful number, since it uses less digits than its factorization.

40455451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15576 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 43.

The spelling of 40455451456 in words is "forty billion, four hundred fifty-five million, four hundred fifty-one thousand, four hundred fifty-six".