40350789504 has 192 divisors, whose sum is σ = 117494208000. Its totient is φ = 13291278336.

The previous prime is 40350789499. The next prime is 40350789517. The reversal of 40350789504 is 40598705304.

40350789504 is a `hidden beast` number, since 40 + 35 + 0 + 78 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×40350789504⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40350789504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56911902 + ... + 56912610.

It is an arithmetic number, because the mean of its divisors is an integer number (611949000).

Almost surely, 2^40350789504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40350789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58747104000).

40350789504 is an abundant number, since it is smaller than the sum of its proper divisors (77143418496).

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

40350789504 is a wasteful number, since it uses less digits than its factorization.

40350789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 40350789504 in words is "forty billion, three hundred fifty million, seven hundred eighty-nine thousand, five hundred four".