40034350151400 has 576 divisors, whose sum is σ = 144675490176000. Its totient is φ = 9057133324800.

The previous prime is 40034350151359. The next prime is 40034350151417. The reversal of 40034350151400 is 415105343004.

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 143 ways as a sum of consecutive naturals, for example, 562885041 + ... + 562956159.

It is an arithmetic number, because the mean of its divisors is an integer number (251172726000).

Almost surely, 2^{40034350151400} is an apocalyptic number.

40034350151400 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 40034350151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72337745088000).

40034350151400 is an abundant number, since it is smaller than the sum of its proper divisors (104641140024600).

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

40034350151400 is a wasteful number, since it uses less digits than its factorization.

40034350151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71302 (or 71226 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 40034350151400 its reverse (415105343004), we get a palindrome (40449455494404).

The spelling of 40034350151400 in words is "forty trillion, thirty-four billion, three hundred fifty million, one hundred fifty-one thousand, four hundred".