40706400 has 144 divisors (see below), whose sum is σ = 151490304. Its totient is φ = 9300480.

The previous prime is 40706383. The next prime is 40706411. The reversal of 40706400 is 460704.

It is a super-2 number, since 2×40706400² = 3314022001920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15589 + ... + 18011.

It is an arithmetic number, because the mean of its divisors is an integer number (1052016).

Almost surely, 2^40706400 is an apocalyptic number.

40706400 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 40706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75745152).

40706400 is an abundant number, since it is smaller than the sum of its proper divisors (110783904).

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

40706400 is a wasteful number, since it uses less digits than its factorization.

40706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40706400 is about 6380.1567378866. The cubic root of 40706400 is about 343.9966648316.

The spelling of 40706400 in words is "forty million, seven hundred six thousand, four hundred".