40834214400 has 480 divisors, whose sum is σ = 156350671488. Its totient is φ = 9201254400.

The previous prime is 40834214381. The next prime is 40834214441. The reversal of 40834214400 is 441243804.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19621360 + ... + 19623440.

Almost surely, 2^40834214400 is an apocalyptic number.

40834214400 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 40834214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78175335744).

40834214400 is an abundant number, since it is smaller than the sum of its proper divisors (115516457088).

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

40834214400 is a wasteful number, since it uses less digits than its factorization.

40834214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 40834214400 in words is "forty billion, eight hundred thirty-four million, two hundred fourteen thousand, four hundred".