40742658000 has 480 divisors, whose sum is σ = 155946840192. Its totient is φ = 9831936000.

The previous prime is 40742657983. The next prime is 40742658013. The reversal of 40742658000 is 85624704.

40742658000 is a `hidden beast` number, since 4 + 0 + 74 + 2 + 6 + 580 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68705704 + ... + 68706296.

Almost surely, 2^40742658000 is an apocalyptic number.

40742658000 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 40742658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77973420096).

40742658000 is an abundant number, since it is smaller than the sum of its proper divisors (115204182192).

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

40742658000 is a wasteful number, since it uses less digits than its factorization.

40742658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40742658000 in words is "forty billion, seven hundred forty-two million, six hundred fifty-eight thousand".