40877852400 has 1440 divisors, whose sum is σ = 187901116416. Its totient is φ = 7983360000.

The previous prime is 40877852387. The next prime is 40877852419. The reversal of 40877852400 is 425877804.

40877852400 is a `hidden beast` number, since 40 + 87 + 7 + 8 + 524 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 575744365 + ... + 575744435.

Almost surely, 2^40877852400 is an apocalyptic number.

40877852400 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 40877852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93950558208).

40877852400 is an abundant number, since it is smaller than the sum of its proper divisors (147023264016).

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

40877852400 is a wasteful number, since it uses less digits than its factorization.

40877852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 40877852400 in words is "forty billion, eight hundred seventy-seven million, eight hundred fifty-two thousand, four hundred".