40272826860 has 384 divisors, whose sum is σ = 148570490880. Its totient is φ = 8864640000.

The previous prime is 40272826837. The next prime is 40272826861. The reversal of 40272826860 is 6862827204.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40272826861) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14124435 + ... + 14127285.

It is an arithmetic number, because the mean of its divisors is an integer number (386902320).

Almost surely, 2^40272826860 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 40272826860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74285245440).

40272826860 is an abundant number, since it is smaller than the sum of its proper divisors (108297664020).

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

40272826860 is a wasteful number, since it uses less digits than its factorization.

40272826860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40272826860 in words is "forty billion, two hundred seventy-two million, eight hundred twenty-six thousand, eight hundred sixty".