40410720000 has 1080 divisors, whose sum is σ = 175983167360. Its totient is φ = 8709120000.

The previous prime is 40410719969. The next prime is 40410720029. The reversal of 40410720000 is 2701404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 191519895 + ... + 191520105.

Almost surely, 2^40410720000 is an apocalyptic number.

40410720000 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 40410720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87991583680).

40410720000 is an abundant number, since it is smaller than the sum of its proper divisors (135572447360).

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

40410720000 is a wasteful number, since it uses less digits than its factorization.

40410720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The spelling of 40410720000 in words is "forty billion, four hundred ten million, seven hundred twenty thousand".