40073400 has 192 divisors, whose sum is σ = 142178400. Its totient is φ = 10368000.

The previous prime is 40073393. The next prime is 40073417. The reversal of 40073400 is 437004.

40073400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 221310 + ... + 221490.

Almost surely, 2^40073400 is an apocalyptic number.

40073400 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 40073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089200).

40073400 is an abundant number, since it is smaller than the sum of its proper divisors (102105000).

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

40073400 is a wasteful number, since it uses less digits than its factorization.

40073400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 40073400 is about 6330.3554402577. The cubic root of 40073400 is about 342.2042485703.

The spelling of 40073400 in words is "forty million, seventy-three thousand, four hundred".