40506144000 has 864 divisors, whose sum is σ = 159942182400. Its totient is φ = 9057484800.

The previous prime is 40506143987. The next prime is 40506144067. The reversal of 40506144000 is 44160504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371615946 + ... + 371616054.

Almost surely, 2^40506144000 is an apocalyptic number.

40506144000 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 40506144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79971091200).

40506144000 is an abundant number, since it is smaller than the sum of its proper divisors (119436038400).

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

40506144000 is a wasteful number, since it uses less digits than its factorization.

40506144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

It can be divided in two parts, 4050 and 6144000, that multiplied together give a 5-th power (24883200000 = 120⁵).

The spelling of 40506144000 in words is "forty billion, five hundred six million, one hundred forty-four thousand".