40900805010 has 384 divisors, whose sum is σ = 127042546176. Its totient is φ = 9388431360.

The previous prime is 40900804981. The next prime is 40900805027. The reversal of 40900805010 is 1050800904.

It is a super-4 number, since 4×40900805010⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29788684 + ... + 29790056.

It is an arithmetic number, because the mean of its divisors is an integer number (330839964).

Almost surely, 2^40900805010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40900805010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63521273088).

40900805010 is an abundant number, since it is smaller than the sum of its proper divisors (86141741166).

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

40900805010 is a wasteful number, since it uses less digits than its factorization.

40900805010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 40900805010 in words is "forty billion, nine hundred million, eight hundred five thousand, ten".