40369766400 has 540 divisors, whose sum is σ = 148319694432. Its totient is φ = 10491002880.

The previous prime is 40369766387. The next prime is 40369766407. The reversal of 40369766400 is 466796304.

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 (40369766407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173260684 + ... + 173260916.

Almost surely, 2^40369766400 is an apocalyptic number.

40369766400 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 40369766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74159847216).

40369766400 is an abundant number, since it is smaller than the sum of its proper divisors (107949928032).

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

40369766400 is a wasteful number, since it uses less digits than its factorization.

40369766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 40369766400 in words is "forty billion, three hundred sixty-nine million, seven hundred sixty-six thousand, four hundred".