40277776000 has 256 divisors, whose sum is σ = 124854462720. Its totient is φ = 12553728000.

The previous prime is 40277775899. The next prime is 40277776003. The reversal of 40277776000 is 67777204.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40277776003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215654 + ... + 1248346.

It is an arithmetic number, because the mean of its divisors is an integer number (487712745).

Almost surely, 2^40277776000 is an apocalyptic number.

40277776000 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 40277776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62427231360).

40277776000 is an abundant number, since it is smaller than the sum of its proper divisors (84576686720).

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

40277776000 is a wasteful number, since it uses less digits than its factorization.

40277776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32740 (or 32718 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The spelling of 40277776000 in words is "forty billion, two hundred seventy-seven million, seven hundred seventy-six thousand".