40414774400 has 1152 divisors, whose sum is σ = 143187502080. Its totient is φ = 10948608000.

The previous prime is 40414774349. The next prime is 40414774409. The reversal of 40414774400 is 447741404.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (40414774409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1092291182 + ... + 1092291218.

Almost surely, 2^40414774400 is an apocalyptic number.

40414774400 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 40414774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71593751040).

40414774400 is an abundant number, since it is smaller than the sum of its proper divisors (102772727680).

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

40414774400 is a wasteful number, since it uses less digits than its factorization.

40414774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 35.

The spelling of 40414774400 in words is "forty billion, four hundred fourteen million, seven hundred seventy-four thousand, four hundred".