40919387600 has 480 divisors, whose sum is σ = 129726696960. Its totient is φ = 12035358720.

The previous prime is 40919387573. The next prime is 40919387603. The reversal of 40919387600 is 678391904.

40919387600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40919387600³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40919387603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55072829 + ... + 55073571.

It is an arithmetic number, because the mean of its divisors is an integer number (270263952).

Almost surely, 2^40919387600 is an apocalyptic number.

40919387600 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 40919387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64863348480).

40919387600 is an abundant number, since it is smaller than the sum of its proper divisors (88807309360).

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

40919387600 is a wasteful number, since it uses less digits than its factorization.

40919387600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 40919387600 in words is "forty billion, nine hundred nineteen million, three hundred eighty-seven thousand, six hundred".