40770038400 has 1152 divisors, whose sum is σ = 172592078400. Its totient is φ = 8381399040.

The previous prime is 40770038363. The next prime is 40770038417. The reversal of 40770038400 is 483007704.

It is a happy number.

It is a super-2 number, since 2×40770038400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360796744 + ... + 360796856.

Almost surely, 2^40770038400 is an apocalyptic number.

40770038400 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 40770038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86296039200).

40770038400 is an abundant number, since it is smaller than the sum of its proper divisors (131822040000).

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

40770038400 is a wasteful number, since it uses less digits than its factorization.

40770038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 40770038400 in words is "forty billion, seven hundred seventy million, thirty-eight thousand, four hundred".