40772244480 has 176 divisors, whose sum is σ = 142263290304. Its totient is φ = 9884139520.

The previous prime is 40772244451. The next prime is 40772244517. The reversal of 40772244480 is 8444227704.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×40772244480³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48304 + ... + 289616.

Almost surely, 2^40772244480 is an apocalyptic number.

40772244480 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 40772244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71131645152).

40772244480 is an abundant number, since it is smaller than the sum of its proper divisors (101491045824).

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

40772244480 is a wasteful number, since it uses less digits than its factorization.

40772244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241352 (or 241334 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 42.

The spelling of 40772244480 in words is "forty billion, seven hundred seventy-two million, two hundred forty-four thousand, four hundred eighty".