40948934400 has 1080 divisors, whose sum is σ = 170024367744. Its totient is φ = 9638092800.

The previous prime is 40948934393. The next prime is 40948934407. The reversal of 40948934400 is 443984904.

40948934400 is a `hidden beast` number, since 40 + 94 + 89 + 3 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40948934393) and next prime (40948934407).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×40948934400³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40948934407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245203117 + ... + 245203283.

Almost surely, 2^40948934400 is an apocalyptic number.

40948934400 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 40948934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85012183872).

40948934400 is an abundant number, since it is smaller than the sum of its proper divisors (129075433344).

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

40948934400 is a wasteful number, since it uses less digits than its factorization.

40948934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40948934400 in words is "forty billion, nine hundred forty-eight million, nine hundred thirty-four thousand, four hundred".