40077797760 has 1536 divisors, whose sum is σ = 194568998400. Its totient is φ = 7664025600.

The previous prime is 40077797759. The next prime is 40077797761. The reversal of 40077797760 is 6779777004.

It is an interprime number because it is at equal distance from previous prime (40077797759) and next prime (40077797761).

It is a super-2 number, since 2×40077797760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40077797697 and 40077797706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40077797761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121080795 + ... + 121081125.

It is an arithmetic number, because the mean of its divisors is an integer number (126672525).

Almost surely, 2^40077797760 is an apocalyptic number.

40077797760 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 40077797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97284499200).

40077797760 is an abundant number, since it is smaller than the sum of its proper divisors (154491200640).

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

40077797760 is a wasteful number, since it uses less digits than its factorization.

40077797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3630312, while the sum is 54.

The spelling of 40077797760 in words is "forty billion, seventy-seven million, seven hundred ninety-seven thousand, seven hundred sixty".