40777461760 has 416 divisors, whose sum is σ = 118894003200. Its totient is φ = 13123190784.

The previous prime is 40777461749. The next prime is 40777461773. The reversal of 40777461760 is 6716477704.

It is a happy 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, 273674166 + ... + 273674314.

Almost surely, 2^40777461760 is an apocalyptic number.

40777461760 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 40777461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59447001600).

40777461760 is an abundant number, since it is smaller than the sum of its proper divisors (78116541440).

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

40777461760 is a wasteful number, since it uses less digits than its factorization.

40777461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 49.

The spelling of 40777461760 in words is "forty billion, seven hundred seventy-seven million, four hundred sixty-one thousand, seven hundred sixty".