40007378400 has 576 divisors, whose sum is σ = 152135262720. Its totient is φ = 9024307200.

The previous prime is 40007378371. The next prime is 40007378401. The reversal of 40007378400 is 487370004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40007378401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43533141 + ... + 43534059.

It is an arithmetic number, because the mean of its divisors is an integer number (264123720).

Almost surely, 2^40007378400 is an apocalyptic number.

40007378400 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 40007378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76067631360).

40007378400 is an abundant number, since it is smaller than the sum of its proper divisors (112127884320).

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

40007378400 is a wasteful number, since it uses less digits than its factorization.

40007378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 40007378400 in words is "forty billion, seven million, three hundred seventy-eight thousand, four hundred".