40188119040 has 576 divisors, whose sum is σ = 149483880000. Its totient is φ = 9955049472.

The previous prime is 40188118969. The next prime is 40188119063. The reversal of 40188119040 is 4091188104.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40188118986 and 40188119004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103311166 + ... + 103311554.

It is an arithmetic number, because the mean of its divisors is an integer number (259520625).

Almost surely, 2^40188119040 is an apocalyptic number.

40188119040 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 40188119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74741940000).

40188119040 is an abundant number, since it is smaller than the sum of its proper divisors (109295760960).

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

40188119040 is a wasteful number, since it uses less digits than its factorization.

40188119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 40188119040 in words is "forty billion, one hundred eighty-eight million, one hundred nineteen thousand, forty".