40772678400 has 486 divisors, whose sum is σ = 151526325132. Its totient is φ = 10861516800.

The previous prime is 40772678377. The next prime is 40772678449. The reversal of 40772678400 is 487627704.

40772678400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (486).

It is a super-2 number, since 2×40772678400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41989915 + ... + 41990885.

It is an arithmetic number, because the mean of its divisors is an integer number (311782562).

Almost surely, 2^40772678400 is an apocalyptic number.

40772678400 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 40772678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75763162566).

40772678400 is an abundant number, since it is smaller than the sum of its proper divisors (110753646732).

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

40772678400 is an frugal number, since it uses more digits than its factorization.

40772678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 40772678400 in words is "forty billion, seven hundred seventy-two million, six hundred seventy-eight thousand, four hundred".