40220355014400 has 864 divisors, whose sum is σ = 151342125984000. Its totient is φ = 9316977868800.

The previous prime is 40220355014381. The next prime is 40220355014423. The reversal of 40220355014400 is 441055302204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 594071751 + ... + 594139449.

Almost surely, 2^{40220355014400} is an apocalyptic number.

40220355014400 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 40220355014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75671062992000).

40220355014400 is an abundant number, since it is smaller than the sum of its proper divisors (111121770969600).

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

40220355014400 is a wasteful number, since it uses less digits than its factorization.

40220355014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67865 (or 67846 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 40220355014400 in words is "forty trillion, two hundred twenty billion, three hundred fifty-five million, fourteen thousand, four hundred".