40755041400 has 384 divisors, whose sum is σ = 133441459200. Its totient is φ = 10279526400.

The previous prime is 40755041399. The next prime is 40755041419. The reversal of 40755041400 is 414055704.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130207644 + ... + 130207956.

It is an arithmetic number, because the mean of its divisors is an integer number (347503800).

Almost surely, 2^40755041400 is an apocalyptic number.

40755041400 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 40755041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66720729600).

40755041400 is an abundant number, since it is smaller than the sum of its proper divisors (92686417800).

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

40755041400 is a wasteful number, since it uses less digits than its factorization.

40755041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 40755041400 in words is "forty billion, seven hundred fifty-five million, forty-one thousand, four hundred".